Help! Is It Obnoxious to Call My Fiance "My Fiance"?

Dear readers, I need your help. (You were genius with the hair cut question, after all!) I always call Alex my boyfriend, but now that we're engaged, people keep saying, "Actually, he's your fiance!" But for some reason, I feel like calling him my "fiance" seems a little obnoxious--like I'm asking people for congratulations. (It reminds me of that Seinfeld episode where Elaine was at a party with a woman who just wouldn't stop saying it.) What do you think? Is it OK to call him my "fiance", or I stick with "boyfriend"? I'd love to hear your thoughts!